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Question
What is the quotient and remainder when $ 824 $ is divided by $ 3070 $ ?
Answer
The quotient is 0 and the remainder is 824.
Explanation
Division Table
|
| | | | 0 | 0 | 0 |
3 | 0 | 7 | 0 | 8 | 2 | 4 |
| | | – | 0 | | |
| | | | 8 | 2 | |
| | | | – | 0 | |
| | | | 8 | 2 | 4 |
| | | | | – | 0 |
| | | | 8 | 2 | 4 |
STEP 0: set up a division table
|
| | | | | | |
3 | 0 | 7 | 0 | 8 | 2 | 4 |
STEP 1: DIVIDE 8 : 3070 = 0 with a remainder of 8
|
| | | | 0 | | |
3 | 0 | 7 | 0 | 8 | 2 | 4 |
STEP 2: MULTIPLY 0 · 3070 = 0
|
| | | | 0 | | |
3 | 0 | 7 | 0 | 8 | 2 | 4 |
| | | | 0 | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | | 0 | | |
3 | 0 | 7 | 0 | 8 | 2 | 4 |
| | | – | 0 | | |
| | | | 8 | | |
STEP 4: BRING DOWN
|
| | | | 0 | | |
3 | 0 | 7 | 0 | 8 | 2 | 4 |
| | | – | 0 | | |
| | | | 8 | 2 | |
STEP 5: DIVIDE 82 : 3070 = 0 with a remainder of 82
|
| | | | 0 | 0 | |
3 | 0 | 7 | 0 | 8 | 2 | 4 |
| | | – | 0 | | |
| | | | 8 | 2 | |
STEP 6: MULTIPLY 0 · 3070 = 0
|
| | | | 0 | 0 | |
3 | 0 | 7 | 0 | 8 | 2 | 4 |
| | | – | 0 | | |
| | | | 8 | 2 | |
| | | | | 0 | |
STEP 7: SUBTRACT 82 - 0 = 82
|
| | | | 0 | 0 | |
3 | 0 | 7 | 0 | 8 | 2 | 4 |
| | | – | 0 | | |
| | | | 8 | 2 | |
| | | | – | 0 | |
| | | | 8 | 2 | |
STEP 8: BRING DOWN
|
| | | | 0 | 0 | |
3 | 0 | 7 | 0 | 8 | 2 | 4 |
| | | – | 0 | | |
| | | | 8 | 2 | |
| | | | – | 0 | |
| | | | 8 | 2 | 4 |
STEP 9: DIVIDE 824 : 3070 = 0 with a remainder of 824
|
| | | | 0 | 0 | 0 |
3 | 0 | 7 | 0 | 8 | 2 | 4 |
| | | – | 0 | | |
| | | | 8 | 2 | |
| | | | – | 0 | |
| | | | 8 | 2 | 4 |
STEP 10: MULTIPLY 0 · 3070 = 0
|
| | | | 0 | 0 | 0 |
3 | 0 | 7 | 0 | 8 | 2 | 4 |
| | | – | 0 | | |
| | | | 8 | 2 | |
| | | | – | 0 | |
| | | | 8 | 2 | 4 |
| | | | | | 0 |
STEP 11: SUBTRACT 824 - 0 = 824
|
| | | | 0 | 0 | 0 |
3 | 0 | 7 | 0 | 8 | 2 | 4 |
| | | – | 0 | | |
| | | | 8 | 2 | |
| | | | – | 0 | |
| | | | 8 | 2 | 4 |
| | | | | – | 0 |
| | | | 8 | 2 | 4 |
STEP 11: SUBTRACT 824 - 0 = 824
|
| | | | 0 | 0 | 0 |
3 | 0 | 7 | 0 | 8 | 2 | 4 |
| | | – | 0 | | |
| | | | 8 | 2 | |
| | | | – | 0 | |
| | | | 8 | 2 | 4 |
| | | | | – | 0 |
| | | | 8 | 2 | 4 |
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